Possibly ... *LINK*
Hi William,
From what you've written & the pics that you've shown, I'd say it is definately a converted pocket watch.
The case Markings sound like plenty of pocket watches that I have looked at ( I have to say that I am not a pocket watch collector, I just look now & then )
Here's a Link to an eBay auction for a typical Omega pocket watch => eBay Auction # 320183456651
As you can see the case is very similar.
Looking at the shape of the movement parts, it could be possible to convert the eBay movement into yours ( the screws are in the same/simialr positions etc etc ) And there is no movement number visible on the eBay watch.
I did hear that early Omega movements were marked UNDER the dial. But in you case, you can also see that area.
So is your's a genuine Omega movement ? I don't know. It could be.
All I'd say is the following. If it is genuine, why does it not have any Omega markings on it anywhere ? & Why would someone go to all that trouble & REMOVE the omega markings ?
I think if the movement is NOT marked Omega anywhere, you have your answer.
If you have access to a Jewellers loop ( at least X8 ) look at the movement components. if look cheap & poorly finished under magnification, you also have another pretty good indicator that the movement is not genuine.
I hope this helps a bit
Steve